| 改进矩阵分裂形式的预条件SOR迭代法收敛性讨论 |
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| 引用本文： | 雷刚.改进矩阵分裂形式的预条件SOR迭代法收敛性讨论[J].西华大学学报(自然科学版),2011,30(4). |
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| 作者姓名： | 雷刚 |
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| 作者单位： | 宝鸡文理学院数学系 陕西宝鸡 721013 |
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| 基金项目： | 国家自然科学基金资助项目(10071048); 宝鸡文理学院重点项目(zk09126) |
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| 摘 要： | 结合矩阵分裂理论及比较定理,给出一种改进矩阵分裂形式的预条件含参数SOR迭代方法,证明这种方法不仅能加速SOR迭代法的收敛性,而且优于一般的预条件方法,并找出了参数的最优取值。最后通过数值例子进行了说明。
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| 关 键 词： | 预条件 收敛性 SOR迭代法 谱半径 |
Discussion of Convergence for Preconditioned SOR Iterative Method Based on Improved Matrix Splitting Modus |
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| LEI Gang.Discussion of Convergence for Preconditioned SOR Iterative Method Based on Improved Matrix Splitting Modus[J].Journal of Xihua University:Natural Science Edition,2011,30(4). |
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| Authors: | LEI Gang |
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| Affiliation: | LEI Gang (Department of Mathematics,Baoji University of Arts and Sciences,Baoji 721013 China) |
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| Abstract: | The author studies the preconditioned iterative method for solving the linear system Ax=b.Jae Heon Yun discussed the P=(I+C) to accelerate convergence of SOR iterative method.In this paper,an improved SOR iterative method is employed by using matrix iterative analysis and comparison theorems to solve the large linear system preconditioned based on matrix splitting.The improved method is proved not only to be able to accelerate the SOR iterative method,but also to excel the general preconditioned SOR method.... |
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| Keywords: | precondition convergence SOR iteration method spectral radius |
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